Workshop
Connection Matrices in Macaulay2
- Joris Koefler (MPI MIS)
Abstract
Systems of homogeneous linear PDEs can be represented as left ideals in the Weyl algebra. Using Gröbner basis techniques, these systems can be systematically encoded by connection matrices. In fundamental particle physics and theoretical cosmology, when investigating scattering amplitudes and cosmological correlators, they turn up as systems of differential equations in matrix form. We explain the implementation of our package ConnectionMatrices in Macaulay2 and showcase a few examples from physics.
This talk is based on joint work with: Paul Görlach, Anna-Laura Sattelberger, Mahrud Sayrafi, Hendrik Schroeder, Nicolas Weiss, and Francesca Zaffalon
